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Finding the Fourth Proportional to 355.52, 533.10 and 163.16

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Solution

The fourth proportional to 355.52, 533.10 and 163.16 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.52 : 533.10 = 163.16 : x
  2. Step 2: Convert to fraction form
    355.52/533.10 = 163.16/x
  3. Step 3: Cross multiply
    355.52x = 533.10 × 163.16
  4. Step 4: Simplify right side
    355.52x = 86,980.60
  5. Step 5: Solve for x
    x = 86,980.60/355.52
  6. Step 6: Final answer
    x = 244.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.